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Simplifying 14 + -1(x + m) = 3(x + 9) + -1(10) Reorder the terms: 14 + -1(m + x) = 3(x + 9) + -1(10) 14 + (m * -1 + x * -1) = 3(x + 9) + -1(10) 14 + (-1m + -1x) = 3(x + 9) + -1(10) Reorder the terms: 14 + -1m + -1x = 3(9 + x) + -1(10) 14 + -1m + -1x = (9 * 3 + x * 3) + -1(10) 14 + -1m + -1x = (27 + 3x) + -1(10) Multiply -1 * 10 14 + -1m + -1x = 27 + 3x + -10 Reorder the terms: 14 + -1m + -1x = 27 + -10 + 3x Combine like terms: 27 + -10 = 17 14 + -1m + -1x = 17 + 3x Solving 14 + -1m + -1x = 17 + 3x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -1m + -14 + -1x = 17 + -14 + 3x Reorder the terms: 14 + -14 + -1m + -1x = 17 + -14 + 3x Combine like terms: 14 + -14 = 0 0 + -1m + -1x = 17 + -14 + 3x -1m + -1x = 17 + -14 + 3x Combine like terms: 17 + -14 = 3 -1m + -1x = 3 + 3x Add 'x' to each side of the equation. -1m + -1x + x = 3 + 3x + x Combine like terms: -1x + x = 0 -1m + 0 = 3 + 3x + x -1m = 3 + 3x + x Combine like terms: 3x + x = 4x -1m = 3 + 4x Divide each side by '-1'. m = -3 + -4x Simplifying m = -3 + -4x
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